Detailed Explanation:
1) Rusting of Iron
4Fe + 3O2 + 2H2O -> 2Fe2O32H2O
Reactants :-
Fe = 4
O = 3 * 2 + 2 = 8
H = 2 * 2 = 4
Products :-
Fe = 2 * 2 = 4
O = 2 * 3 + 2 = 8
H = 2 * 2 = 4
2) Fermentation of sucrose…
C12H22O11 + H2O -> 4C2H5OH + 4CO2
Reactants :-
C = 12
H = 22 + 2 = 24
O = 11 + 1 = 12
Products :-
C = 4 * 2 + 4 = 12
H = 4 * 5 + 4 = 24
O = 4 * 2 + 4 = 12
Looking closely at the way I have taken the total number of elements on the reactants and products side, you can solve the rest.
All the Best!
Answer:
The speed of q₂ is ![4\sqrt{10}\ m/s](https://tex.z-dn.net/?f=4%5Csqrt%7B10%7D%5C%20m%2Fs)
Explanation:
Given that,
Distance = 0.4 m apart
Suppose, A small metal sphere, carrying a net charge q₁ = −2μC, is held in a stationary position by insulating supports. A second small metal sphere, with a net charge of q₂ = −8μC and mass 1.50g, is projected toward q₁. When the two spheres are 0.800m apart, q₂ is moving toward q₁ with speed 20m/s.
We need to calculate the speed of q₂
Using conservation of energy
![E_{i}=E_{f}](https://tex.z-dn.net/?f=E_%7Bi%7D%3DE_%7Bf%7D)
![\dfrac{1}{2}mv_{i}^2+\dfrac{kq_{1}q_{2}}{r_{i}}=\dfrac{kq_{1}q_{2}}{r_{f}}+\dfrac{1}{2}mv_{f}^2](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7Dmv_%7Bi%7D%5E2%2B%5Cdfrac%7Bkq_%7B1%7Dq_%7B2%7D%7D%7Br_%7Bi%7D%7D%3D%5Cdfrac%7Bkq_%7B1%7Dq_%7B2%7D%7D%7Br_%7Bf%7D%7D%2B%5Cdfrac%7B1%7D%7B2%7Dmv_%7Bf%7D%5E2)
![\dfrac{1}{2}m(v_{i}^2-v_{f}^2)=kq_{1}q_{2}(\dfrac{1}{r_{f}}-\dfrac{1}{r_{i}})](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7Dm%28v_%7Bi%7D%5E2-v_%7Bf%7D%5E2%29%3Dkq_%7B1%7Dq_%7B2%7D%28%5Cdfrac%7B1%7D%7Br_%7Bf%7D%7D-%5Cdfrac%7B1%7D%7Br_%7Bi%7D%7D%29)
Put the value into the formula
![\dfrac{1}{2}\times1.5\times10^{-3}(20^2-v_{f}^2)=9\times10^{9}\times-2\times10^{-6}\times-8\times10^{-6}(\dfrac{1}{(0.4)}-\dfrac{1}{(0.8)})](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7D%5Ctimes1.5%5Ctimes10%5E%7B-3%7D%2820%5E2-v_%7Bf%7D%5E2%29%3D9%5Ctimes10%5E%7B9%7D%5Ctimes-2%5Ctimes10%5E%7B-6%7D%5Ctimes-8%5Ctimes10%5E%7B-6%7D%28%5Cdfrac%7B1%7D%7B%280.4%29%7D-%5Cdfrac%7B1%7D%7B%280.8%29%7D%29)
![0.00075(400-v_{f}^2)=0.18 ](https://tex.z-dn.net/?f=0.00075%28400-v_%7Bf%7D%5E2%29%3D0.18%0A)
![400-v_{f}^2=\dfrac{0.18}{0.00075}](https://tex.z-dn.net/?f=400-v_%7Bf%7D%5E2%3D%5Cdfrac%7B0.18%7D%7B0.00075%7D)
![-v_{f}^2=240-400](https://tex.z-dn.net/?f=-v_%7Bf%7D%5E2%3D240-400)
![v_{f}^2=160](https://tex.z-dn.net/?f=v_%7Bf%7D%5E2%3D160)
![v_{f}=4\sqrt{10}\ m/s](https://tex.z-dn.net/?f=v_%7Bf%7D%3D4%5Csqrt%7B10%7D%5C%20m%2Fs)
Hence, The speed of q₂ is ![4\sqrt{10}\ m/s](https://tex.z-dn.net/?f=4%5Csqrt%7B10%7D%5C%20m%2Fs)
Density applies to many if not all aspects of life. With density you can explain why ice floats. You can explain why oxygen is on the earth, and not floating around in space( or being replaced by another gas). You can also explain why heat rises while cold air sinks.
Answer:
Two positively charged particles
Explanation:
I said two positively charged particles because if I say c or d what ever it is for you guy it can be wrong so just pick the one that says Two positively charged particles
Answer:
![P=42.075W](https://tex.z-dn.net/?f=P%3D42.075W)
Explanation:
The power provided by a resistor (wire in this case) is given by:
.
The resistance of a wire is given by:
![R=\frac{\rho L}{A}](https://tex.z-dn.net/?f=R%3D%5Cfrac%7B%5Crho%20L%7D%7BA%7D)
Where for the resistivity the one of the copper should be used:
.
The area A is that of a circle, which written in terms of its diameter is:
![A=\pi r^2=\pi (d/2)^2=\frac{\pi d^2}{4}](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%5E2%3D%5Cpi%20%28d%2F2%29%5E2%3D%5Cfrac%7B%5Cpi%20d%5E2%7D%7B4%7D)
Putting all together:
![P=\frac{AV^2}{\rho L}=\frac{\pi d^2V^2}{4\rho L}](https://tex.z-dn.net/?f=P%3D%5Cfrac%7BAV%5E2%7D%7B%5Crho%20L%7D%3D%5Cfrac%7B%5Cpi%20d%5E2V%5E2%7D%7B4%5Crho%20L%7D)
Which for our values is:
![P=\frac{\pi (0.00025m)^2(12V)^2}{4(1.68\times10^{-8}\Omega m)(10m)}=42.075W](https://tex.z-dn.net/?f=P%3D%5Cfrac%7B%5Cpi%20%280.00025m%29%5E2%2812V%29%5E2%7D%7B4%281.68%5Ctimes10%5E%7B-8%7D%5COmega%20m%29%2810m%29%7D%3D42.075W)